Answer:
c) ![y=16.57+1.83x](https://tex.z-dn.net/?f=y%3D16.57%2B1.83x)
Step-by-step explanation:
Equation for regression line of y on x is given as
![\hat{y}=mx+b --- (1)](https://tex.z-dn.net/?f=%5Chat%7By%7D%3Dmx%2Bb%20---%20%281%29)
where
= predicted value
m = slope of line
b = intercept
m and b are found as
![m=r\frac{S_{y}}{S_{x}}---(2)\\\\b=\bar{y}-m\bar{x}---(3)](https://tex.z-dn.net/?f=m%3Dr%5Cfrac%7BS_%7By%7D%7D%7BS_%7Bx%7D%7D---%282%29%5C%5C%5C%5Cb%3D%5Cbar%7By%7D-m%5Cbar%7Bx%7D---%283%29)
r = correlation coefficient = 0.88
Sx = standard deviation for independent variable x = 13
Sy = standard deviation for dependent variable y = 27
= mean value of independent variable x = 21
= mean value of dependent variable y = 55
Substituting these values in (2) and (3)
![m=r\frac{S_{y}}{S_{x}}\\\\m=(0.88)\frac{27}{13}\\\\m=1.83](https://tex.z-dn.net/?f=m%3Dr%5Cfrac%7BS_%7By%7D%7D%7BS_%7Bx%7D%7D%5C%5C%5C%5Cm%3D%280.88%29%5Cfrac%7B27%7D%7B13%7D%5C%5C%5C%5Cm%3D1.83)
![b=\bar{y}-m\bar{x}\\\\b=55-(1.827)(21)\\\\b=16.57](https://tex.z-dn.net/?f=b%3D%5Cbar%7By%7D-m%5Cbar%7Bx%7D%5C%5C%5C%5Cb%3D55-%281.827%29%2821%29%5C%5C%5C%5Cb%3D16.57)
Putting these values of m and b in (1)
![y=1.83x+16.57](https://tex.z-dn.net/?f=y%3D1.83x%2B16.57)
2.65x + 2.50 = y
step by step explanation:
2.65 is how much for each mile, and the variable, x, represents the number of miles of the trip. so, we would do 2.65x to find out how much money you have to pay for the amounts of mile.
next, you would have to add the initial fee, which is 2.50. so 2.65x+2.50.
lastly, y represents the total cost of the trip. so, 2.65x + 2.50 = y
Answer:
10
Step-by-step explanation:
By the alternate interior angles theorem,
![4x=2x+20 \\ \\ 2x=20 \\ \\ x=10](https://tex.z-dn.net/?f=4x%3D2x%2B20%20%5C%5C%20%5C%5C%202x%3D20%20%5C%5C%20%5C%5C%20x%3D10)
Answering-C
measurements in cups
pretzels -3.75
dry cereal -6.875
peanuts -3.125
margarine -8.33
soy sauce -0.390625
total -22.470625
there will be 22 cups of dry snack mix.